Factor and find the zeros of the following polynomial and write its behavior

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Q: In a shop, the revenue and the cost of a product are determined by R(x)=22x and C(x)=2x²+2x+1,…

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Q: Calculate the higher derivative. (Use symbolic notation and fractions where needed.) d² dt² -8 cos²…

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Q: Use synthetic division to find the quotient and the remainder. (3x4 -8x3+8x-5)÷(x-2) (3x4…

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Q: The smaller the curvature in the bend of a road, the faster a car can travel. Assume that the…

A: Given that the smaller the curvature in the bend of a road, the faster a car can travel.

Q: 1. Let f(x,y) = 819.11 IIY x+y+1 Find:

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Q: Find f. f(x) = f''(x) - 10 + 6x + 24x², f(0) = 5, f(1) = 16

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Q: :-Solve the following equations (choose three only):- 2 1- y' + ²y = -x³y5 2- 2xydx + (x²-1)dy = 0…

A: As per the guidelines I am supposed to do the first question among multiple questions. So here I am…

Q: Let f(x) = √√√x – 2. a) Find f(x + h): b) Find f(x + h) - f(x): c) Find_f(x+h)-f(x). h d) Find…

A: We have to solve multiple part

Q: Find an equation of the plane through the point (2, 0, 1) and perpendicular to the line x = 3t, y =…

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Q: The manufacturer of color televisions can sell 1600 sets to his dealers at $427 each. If the price…

A: The manufacture of color televisions can sell 1600 sets to his dealers at $427 each. If the price is…

Q: A cyclist rides down a long straight road at a velocity (in m/min) given by v(t) = 400-20t, for 0≤t≤…

A: Given query is to find the distance traveled for different times.

Q: Find P(33 < X < 47) if X is normally distributed with mean 37 and standard deviation 10. For all

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Q: . Compute f(x) dx ƒ(x) = { 2x if x < 1 4 if x ≥ 1

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Q: Use the midpoint rule with n = 6 to estimate the value of the integral (x³ + x)dx.

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Q: x +4 1. √x dx 2. √ 1 + √F 1+ 3.x√ √x² + 1dx -dx

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Q: MY NOTE An open box of maximum volume is to be made from a square piece of material, s = 30 inches…

A: Given: S= 30 inches

Q: HOW ALL WORK sing Standard Labeling, solve the triangle with ß = 56°, a = 6, and c = 8. Round…

A: Given query is to solve the triangle.

Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use ∞o…

A: The detailed solution is given below Thank you

Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

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Q: A particle is moving with the given data. Find the position of the particle. a(t) = 2t + 9, S(0) =…

A: In this question we have to find the value of s(t).

Q: Follow the steps below to find the nonnegative numbers x and y that satisfy the given requirements.…

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Q: Hello, I had a homework question on this. I know how to solve for common logarithms, but this…

A: Given 3•7^x=4•5^x

Q: QUESTION 11 Solve the following system of equations and fill in the values below: x + 5y + 2z = 8 2x…

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Q: Use technology to find a local maximum and two local minima of the graph of the following function.…

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Q: '1+tanx Evaluate the integral 1-tanx dx A In sinx-cosx + C B -In cosx+sinx + C C -In cosx-sinx + C D…

A: Here, to evaluate: ∫1+tan x1-tan xdx

Q: Suppose that is an angle in standard position whose terminal side intersects the unit circle at Find…

A: As x= r cosθ and y= r sinθ

Q: Determine the vertical asymptote(s) of the given function. If none exists, state that fact. X+4 h(x)…

A: As per the instruction, we will be answering the first question. Graph of h(x)=x+4x2+1:

Q: equation and the initial condition. 8. f'(x) = 9x² + 1, f(0) = 7

A: Given problem:- Solve  f'(x) = 9x² + 1, f(0) = 7

Q: How does our unders Calculu

A: answer is in next step

Q: Determine the average cost function C(x)= C(x)=x²+2x²-3x+40 Determine the average cost function.…

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Q: a Review Back Next Actions E Question 3 Indicate the answer choice that best completes the statement…

A: We have to choose correct option.

Q: Find the differential equation having each equation as general solution. m y ==-7

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Q: For f(x) = 2x³ - 2, find ƒ '(x) using the definition f '(x) = lim f(x+h)-f(x) h h→0 f'(x) = Using…

A: Let's find.

Q: Write an arithmetic expression for the function f∘g, and find the value of f∘g(5) Write an…

A: We have to find the function

Q: The acceleration function (in m/s2) and the initial velocity are given for a particle moving along a…

A: We can solve as follows

Q: Remaining "How Did I Do?" Uses: 0/1 Use the fact that: loga (x) = -1.6, loga (y) = 4.2, and loga (2)…

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Q: A farmer plans to build a rectangular pen adjacent to a river out of the 2,400 ft of fencing he has…

A: Given: Total fencing is 2400 ft  We know that area of rectangle is length ×width

Q: QUESTION 14 Calculate the maximum value of 4x + 6y subject to the constraints below: 3x + y ≤ 16 x +…

A: The solution of all the inequalities is the intersection of the shaded region of the all…

Q: Finding an Indefinite Integral In Exercises 75-78, find the indefinite integral. 1 75. dx 7x-2

A: Here is the solution:

Q: Consider the following function. f(x) = x¹/9+8 (a) Find the critical numbers of f. (Enter your…

A: Solve the following

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Q: Show your work please

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Q: ∫x2(x3-1)11dx

A: Given, ∫x2(x3-1)11dx We can solve it by substitution method

Q: 1093 1 162

A: answer is in next step

Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

A: Calculate the first and second derivative and then go ahead

Q: 9 Determine the domain and range of (gof)(x) if f(x)=x²_9 and g(x) = x + 3. OD: (x E R) and R: (-∞,…

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Q: A large tank is partially filled with 400 L of fluid in which 5 kg of salt is dissolved. Brine…

A: The number of kilograms of salt in the tank after 30 minutes is 133.18 kg.

Q: 10. SHOW ALL WORK Verify the following identity:1 (1 - csc²0) (1 + tan²0 ) = tan² an evels to sty…

A: Given;  (1-csc2(theta)) (1+tan2(theta)) =tan2(theta).

Q: Suppose f(x) = 6 - x². (a) Find the slope of the tangent line to the graph y = f(x) when x = 2.…

A: a) f(x)=6-x2…